Least Common Multiple of 90/635, 42/957, 243/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/635, 42/957, 243/591 quickly i.e. 17010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/635, 42/957, 243/591 is 17010.

LCM(90/635, 42/957, 243/591) = 17010

LCM of 90/635, 42/957, 243/591

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 90/635,42/957,243/591

Given numbers are 90/635,42/957,243/591

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 90,42,243

Least Common Multiple of Numerators i.e. LCM of 90,42,243 is 17010.

GCF of Denominators means GCF of 635,957,591 as per the given fractions.

GCF of 635,957,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,42,243

LCM of Fractions 90/635,42/957,243/591 is 17010

2 90, 42, 243
3 45, 21, 243
3 15, 7, 81
5, 7, 27

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 27 = 17010

Least Common Multiple of 90,42,243 with GCF Formula

Least Common Multiple of 90,42,243 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 90,42,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,42,243) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(90,42,243) x common factors =3 x 18 = 54

LCM(90,42,243) = ( 90 × 42 × 243 ) / 54

LCM(90,42,243) = 918540 / 54

LCM(90,42,243) = 17010


Lets's calculate GCF of 635,957,591

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17010/1

Therefore the LCM of Fractions 90/635,42/957,243/591 is 17010

Greatest Common Factor of 635,957,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,957,591 By Matching Biggest Common Factor Method

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 635,957,591 . The biggest common factor number is the GCF number.
So the greatest common factor 635,957,591 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 90/635, 42/957, 243/591

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 90/635, 42/957, 243/591?

Answer: LCM of Numerators as per given numbers 90/635, 42/957, 243/591 is

LCM of Numerators i.e. for 90,42,243 is 17010

GCF of denominators i.e. for 635,957,591 is 1.

Thus, LCM of Fractions is 17010.Finally, LCM of Fractions for 90/635, 42/957, 243/591 is 17010.